Theorem bj-sylgt2

Description: Uncurried (imported) form of sylgt . (Contributed by BJ, 2-May-2019)

	Ref	Expression
Assertion	bj-sylgt2	$$⊢\left(\forall x\left(\psi \to \chi \right)\wedge \left(\phi \to \forall x\psi \right)\right)\to \left(\phi \to \forall x\chi \right)$$

Proof

Step	Hyp	Ref	Expression
1		sylgt	$$⊢\forall x\left(\psi \to \chi \right)\to \left(\left(\phi \to \forall x\psi \right)\to \left(\phi \to \forall x\chi \right)\right)$$
2	1	imp	$$⊢\left(\forall x\left(\psi \to \chi \right)\wedge \left(\phi \to \forall x\psi \right)\right)\to \left(\phi \to \forall x\chi \right)$$